Question

Oof

Three triangles are shown on the centimetre grid.
b)
C
А
B
a)
Which triangle has the largest area?
b)
Work out the area of this triangle.
Give your answer as a decimal.​

Answer 1

triangle C

Explanation:

Answer 2

triangle C has the largest area.

Explanation:

From the the three triangles A, B, C based on the area occupied by the triangles, it can be seen that triangle C occupies the largest area.

On the centimetre grid, let each box represent one unit. For triangle A, the base is 2 boxes (i.e 2 units) and the height is 3 units, For triangle B, the base is 2 units and the height is 3 units while for triangle C, the base is 3 units and the height is 3 unit. The area of a triangle is given by:

Area =
`(1)/(2)base*height`

For triangle A:

Area =
`(1)/(2)base*height` =
`(1)/(2) *2*3=3 \ unit^2`

For triangle B:

Area =
`(1)/(2)base*height` =
`(1)/(2) *2*3=3 \ unit^2`

For triangle C:

Area =
`(1)/(2)base*height` =
`(1)/(2) *3*3=4.5 \ unit^2`

Therefore, triangle C has the largest area.